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A135015 Numbers n with property that for each single digit d of n, we can also see the decimal expansion of the d-th prime as a substring of n. Also n may not contain any zero digits. 2
11235, 11253, 11325, 11352, 11523, 11532, 21135, 21153, 23115, 23511, 25113, 25311, 31125, 31152, 32115, 32511, 35112, 35211, 51123, 51132, 52113, 52311, 53112, 53211, 111235, 111253, 111325, 111352, 111523, 111532, 112135, 112153, 112235, 112253 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Robert Israel, Table of n, a(n) for n = 1..10000 (first 300 terms from David Applegate)
MAPLE
filter:= proc (n) local L, LP;
L := convert(n, base, 10);
if has(L, 0) then return false end if;
if has(L, 1) and not has(L, 2) then return false end if;
if has(L, 2) and not has(L, 3) then return false end if;
if has(L, 3) and not has(L, 5) then return false end if;
if has(L, 4) and not has(L, 7) then return false end if;
LP := [seq([L[i], L[i+1]], i = 1 .. nops(L)-1)];
if has(L, 5) and not member([1, 1], LP) then return false end if;
if has(L, 6) and not member([3, 1], LP) then return false end if;
if has(L, 7) and not member([7, 1], LP) then return false end if;
if has(L, 8) and not member([9, 1], LP) then return false end if;
if has(L, 9) and not member([3, 2], LP) then return false end if;
true
end proc:
select(filter, [$1..1.5*10^5]);
PROG
For C++ program see the Applegate link in A135463.
CROSSREFS
Sequence in context: A271582 A185797 A256355 * A104316 A237171 A246248
KEYWORD
nonn,base,look
AUTHOR
STATUS
approved

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Last modified June 14 01:49 EDT 2024. Contains 373391 sequences. (Running on oeis4.)